Find a cubic polynomial with the sum sum of the product of its zeros are taken two at a time and the product of its zeros are 2 , -7 , - 14
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cubic polynomial can be written as
x^3-(a+b+c)x^2+(ab+bc+ac)x-abc
now sum of roots is a+b+c= 2
sum of product of zeroes taken two at a time
ab+bc+ca=-7
product of zeroes abc=-14
polynomial is
x^3-2x^2-7x+14
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